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Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic

Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic

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Analysis of<br />

Cantor Algorithm<br />

• Need polynomial arithmetic over finite field k:<br />

– Gcd(a,b): Greatest common divisor.<br />

– Div/Mod: Polynomial division with remainder.<br />

• These are complicated algorithms.<br />

• Very efficient field arithmetic is needed (esp. inversion!).<br />

• Efficiency of complete implementation in hardware<br />

is unclear (see Th. Wollingers M.Sc. thesis, WPI 2001).<br />

• Active research on optimal hardware environment<br />

done by Philips Semiconductors<br />

in EU IST project AREHCC.<br />

Semiconductors, BUID, CCC Kim Nguyen, Essen, 2002-09-23 2

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